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Simplifying 5x + -1(2x + 9) = 9x + -33 Reorder the terms: 5x + -1(9 + 2x) = 9x + -33 5x + (9 * -1 + 2x * -1) = 9x + -33 5x + (-9 + -2x) = 9x + -33 Reorder the terms: -9 + 5x + -2x = 9x + -33 Combine like terms: 5x + -2x = 3x -9 + 3x = 9x + -33 Reorder the terms: -9 + 3x = -33 + 9x Solving -9 + 3x = -33 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + 3x + -9x = -33 + 9x + -9x Combine like terms: 3x + -9x = -6x -9 + -6x = -33 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -6x = -33 + 0 -9 + -6x = -33 Add '9' to each side of the equation. -9 + 9 + -6x = -33 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = -33 + 9 -6x = -33 + 9 Combine like terms: -33 + 9 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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